Toniolo and Linder, Equation (7)

Time bar (total: 5.2s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze288.0ms (5.5%)

Memory
-0.8MiB live, 425.9MiB allocated; 87ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
0%0%99.9%0.1%0%0%0%7
0%0%74.9%0.1%0%25%0%8
4.2%3.1%71.8%0.1%0%25%0%9
6.3%4.7%70.2%0.1%0%25%0%10
11.3%7%55.4%0.1%0%37.4%0%11
16.9%10.5%51.9%0.1%0%37.4%0%12
Compiler

Compiled 29 to 20 computations (31% saved)

sample2.8s (53.7%)

Memory
-13.4MiB live, 3 792.0MiB allocated; 1.4s collecting garbage
Samples
541.0ms1 666×1invalid
525.0ms5 347×0valid
497.0ms2 677×1valid
264.0ms2 719×0invalid
68.0ms232×2valid
25.0ms108×2invalid
Precisions
Click to see histograms. Total time spent on operations: 1.4s
ival-mult!: 573.0ms (40.5% of total)
ival-div!: 277.0ms (19.6% of total)
adjust: 198.0ms (14% of total)
ival-sqrt: 143.0ms (10.1% of total)
ival-add!: 112.0ms (7.9% of total)
ival-sub!: 112.0ms (7.9% of total)
Bogosity

preprocess66.0ms (1.3%)

Memory
-2.1MiB live, 40.3MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
071277
1362273
21814263
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.1%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))))
Symmetry

(abs l)

(negabs t)

Compiler

Compiled 54 to 36 computations (33.3% saved)

series90.0ms (1.7%)

Memory
6.7MiB live, 152.7MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
082311975
Stop Event
iter-limit
Counts
18 → 122
Calls
Call 1
Inputs
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
t
(sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l)))
(-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t))))
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(-.f64 x #s(literal 1 binary64))
(+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))
(*.f64 l l)
l
(*.f64 #s(literal 2 binary64) (*.f64 t t))
(*.f64 t t)
Outputs
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (pow.f64 l #s(literal 2 binary64))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 t (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (pow.f64 l #s(literal 2 binary64)))) #s(literal 3 binary64))) (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (pow.f64 l #s(literal 2 binary64)))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (fma.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (pow.f64 l #s(literal 2 binary64)))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (pow.f64 l #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (pow.f64 l #s(literal 2 binary64)))) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (pow.f64 l #s(literal 2 binary64)))) #s(literal 3 binary64))))) (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (pow.f64 l #s(literal 2 binary64)))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (fma.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (pow.f64 l #s(literal 2 binary64)))) #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (pow.f64 l #s(literal 2 binary64)))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (pow.f64 l #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (pow.f64 l #s(literal 2 binary64)))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (pow.f64 l #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (pow.f64 l #s(literal 2 binary64)))) #s(literal 5 binary64))))) (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (pow.f64 l #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (pow.f64 l #s(literal 2 binary64)))) #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (pow.f64 l #s(literal 2 binary64)))) #s(literal 5 binary64)))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (pow.f64 l #s(literal 2 binary64)))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (pow.f64 l #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (pow.f64 l #s(literal 2 binary64)))) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (pow.f64 l #s(literal 2 binary64)))) #s(literal 3 binary64))))) (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (pow.f64 l #s(literal 2 binary64)))))))
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (pow.f64 l #s(literal 2 binary64)))))
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (+.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (pow.f64 l #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64))))) (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (pow.f64 l #s(literal 2 binary64))))))))
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (+.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (pow.f64 l #s(literal 2 binary64)))) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (pow.f64 l #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (pow.f64 l #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (pow.f64 l #s(literal 2 binary64))))))))))
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#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 t (+.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (-.f64 (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) (pow.f64 l #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (-.f64 (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) (pow.f64 l #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 t #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) (pow.f64 l #s(literal 2 binary64))) (*.f64 (pow.f64 t #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))))))))))))
#s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (*.f64 (pow.f64 t #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 t #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64))))) (/.f64 (pow.f64 l #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64))))))
#s(approx (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (*.f64 (pow.f64 t #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 t #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))))))
#s(approx (+ (* l l) (* 2 (* t t))) (*.f64 (pow.f64 t #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (/.f64 (pow.f64 l #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) (pow.f64 l #s(literal 2 binary64)))) (*.f64 (pow.f64 t #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))) #s(literal 3 binary64)))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) (pow.f64 l #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))) #s(literal 5 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) (pow.f64 l #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) (pow.f64 l #s(literal 2 binary64)))) (*.f64 (pow.f64 t #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))) #s(literal 3 binary64)))))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) (pow.f64 l #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))) #s(literal 5 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) (pow.f64 l #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))) #s(literal 5 binary64))))) (-.f64 (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) (pow.f64 l #s(literal 2 binary64)))) (*.f64 (pow.f64 t #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) (pow.f64 l #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))) #s(literal 5 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) (pow.f64 l #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) (pow.f64 l #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 (pow.f64 t #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))) #s(literal 7 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) (pow.f64 l #s(literal 2 binary64)))) (*.f64 (pow.f64 t #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))) #s(literal 3 binary64)))))))))))
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 #s(literal -1 binary64) (*.f64 t (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))))))
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) (pow.f64 l #s(literal 2 binary64))) (*.f64 (pow.f64 t #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))))))))))
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (-.f64 (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) (pow.f64 l #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) (pow.f64 l #s(literal 2 binary64))) (*.f64 (pow.f64 t #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))))))))))))
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (-.f64 (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) (pow.f64 l #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (-.f64 (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) (pow.f64 l #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 t #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) (pow.f64 l #s(literal 2 binary64))) (*.f64 (pow.f64 t #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))))))))))))
Calls

9 calls:

TimeVariablePointExpression
17.0ms
t
@0
((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) 2 t (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (/ (+ x 1) (- x 1)) (+ x 1) x 1 (- x 1) (+ (* l l) (* 2 (* t t))) (* l l) l (* 2 (* t t)) (* t t))
6.0ms
t
@inf
((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) 2 t (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (/ (+ x 1) (- x 1)) (+ x 1) x 1 (- x 1) (+ (* l l) (* 2 (* t t))) (* l l) l (* 2 (* t t)) (* t t))
6.0ms
x
@-inf
((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) 2 t (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (/ (+ x 1) (- x 1)) (+ x 1) x 1 (- x 1) (+ (* l l) (* 2 (* t t))) (* l l) l (* 2 (* t t)) (* t t))
6.0ms
l
@inf
((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) 2 t (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (/ (+ x 1) (- x 1)) (+ x 1) x 1 (- x 1) (+ (* l l) (* 2 (* t t))) (* l l) l (* 2 (* t t)) (* t t))
5.0ms
x
@0
((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) 2 t (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (/ (+ x 1) (- x 1)) (+ x 1) x 1 (- x 1) (+ (* l l) (* 2 (* t t))) (* l l) l (* 2 (* t t)) (* t t))

rewrite75.0ms (1.4%)

Memory
31.1MiB live, 127.5MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018131
031131
1152131
01607126
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
18 → 386
Calls
Call 1
Inputs
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
t
(sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l)))
(-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t))))
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(-.f64 x #s(literal 1 binary64))
(+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))
(*.f64 l l)
l
(*.f64 #s(literal 2 binary64) (*.f64 t t))
(*.f64 t t)
Outputs
(*.f64 (/.f64 t (sqrt.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (*.f64 l l)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (*.f64 l l)))) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (*.f64 l l))))))
(*.f64 #s(literal 1 binary64) (*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (*.f64 l l))))))
(*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (*.f64 l l)))))
(*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (*.f64 l l))))))
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eval67.0ms (1.3%)

Memory
-15.3MiB live, 120.3MiB allocated; 13ms collecting garbage
Compiler

Compiled 26 637 to 2 951 computations (88.9% saved)

prune54.0ms (1%)

Memory
-30.2MiB live, 30.6MiB allocated; 17ms collecting garbage
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New48016496
Fresh000
Picked101
Done000
Total48116497
Accuracy
92.8%
Counts
497 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.0%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 l) l))))
27.1%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 l) l))))
37.3%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) l) l (-.f64 (*.f64 (*.f64 (+.f64 t t) t) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (*.f64 l l)))))
29.9%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (/.f64 (*.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))))
37.1%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))))
15.3%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))))
32.8%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l))))
32.8%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (+.f64 t t) t (*.f64 l l)))) (*.f64 l l))))
37.2%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 l l) (*.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64)))) (fma.f64 (+.f64 t t) t (*.f64 l l))) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
53.9%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 t #s(literal 2 binary64)) x) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (/.f64 (pow.f64 l #s(literal 2 binary64)) x))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64))) x))))))
3.2%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 l (sqrt.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))))))
1.7%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 #s(literal -1 binary64) (*.f64 t (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))))))))
26.8%
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (*.f64 l l)))))
26.8%
(*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (*.f64 l l))))))
77.4%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))))))
1.7%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))))))
Compiler

Compiled 1 130 to 732 computations (35.2% saved)

series226.0ms (4.3%)

Memory
22.2MiB live, 400.9MiB allocated; 30ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0255541062
Stop Event
iter-limit
Counts
46 → 389
Calls
Call 1
Inputs
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 x #s(literal 1 binary64))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))))))
(*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))))))
#s(literal -1 binary64)
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
t
(sqrt.f64 (-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)))
(-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l))
(*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal 1 binary64))))
(-.f64 x #s(literal -1 binary64))
(/.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal 1 binary64)))
(fma.f64 (+.f64 t t) t (*.f64 l l))
(+.f64 t t)
(*.f64 l l)
l
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (+.f64 t t) t (*.f64 l l)))) (*.f64 l l))))
(sqrt.f64 (-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (+.f64 t t) t (*.f64 l l)))) (*.f64 l l)))
(-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (+.f64 t t) t (*.f64 l l)))) (*.f64 l l))
(*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (+.f64 t t) t (*.f64 l l))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (+.f64 t t) t (*.f64 l l)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))))
(sqrt.f64 (-.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l)))
(-.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t))))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (-.f64 x #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (*.f64 x x) x #s(literal 1 binary64))
(*.f64 x x)
(/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(fma.f64 x x (-.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))
(*.f64 #s(literal 2 binary64) (*.f64 t t))
(*.f64 t t)
Outputs
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (pow.f64 l #s(literal 2 binary64))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 t (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (pow.f64 l #s(literal 2 binary64)))) #s(literal 3 binary64))) (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (pow.f64 l #s(literal 2 binary64)))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (fma.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (pow.f64 l #s(literal 2 binary64)))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (pow.f64 l #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (pow.f64 l #s(literal 2 binary64)))) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (pow.f64 l #s(literal 2 binary64)))) #s(literal 3 binary64))))) (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (pow.f64 l #s(literal 2 binary64)))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (fma.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (pow.f64 l #s(literal 2 binary64)))) #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (pow.f64 l #s(literal 2 binary64)))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (pow.f64 l #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (pow.f64 l #s(literal 2 binary64)))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (pow.f64 l #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (pow.f64 l #s(literal 2 binary64)))) #s(literal 5 binary64))))) (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (pow.f64 l #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (pow.f64 l #s(literal 2 binary64)))) #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (pow.f64 l #s(literal 2 binary64)))) #s(literal 5 binary64)))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (pow.f64 l #s(literal 2 binary64)))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (pow.f64 l #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 t (*.f64 (sqrt.f64 #s(literal 2 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Calls

9 calls:

TimeVariablePointExpression
18.0ms
l
@inf
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16.0ms
l
@0
((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/ (sqrt 2) (sqrt (* 2 (/ (+ 1 x) (- x 1))))) (sqrt 2) 2 (sqrt (* 2 (/ (+ 1 x) (- x 1)))) (* 2 (/ (+ 1 x) (- x 1))) (/ (+ 1 x) (- x 1)) (+ 1 x) 1 x (- x 1) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* -1 (/ (sqrt 2) (sqrt (* 2 (/ (+ 1 x) (- x 1)))))) -1 (/ (* (sqrt 2) t) (sqrt (- (* (- x -1) (/ (+ (* (+ t t) t) (* l l)) (- x 1))) (* l l)))) (* (sqrt 2) t) t (sqrt (- (* (- x -1) (/ (+ (* (+ t t) t) (* l l)) (- x 1))) (* l l))) (- (* (- x -1) (/ (+ (* (+ t t) t) (* l l)) (- x 1))) (* l l)) (* (- x -1) (/ (+ (* (+ t t) t) (* l l)) (- x 1))) (- x -1) (/ (+ (* (+ t t) t) (* l l)) (- x 1)) (+ (* (+ t t) t) (* l l)) (+ t t) (* l l) l (/ (* (sqrt 2) t) (sqrt (- (* (- x -1) (* (/ -1 (- 1 x)) (+ (* (+ t t) t) (* l l)))) (* l l)))) (sqrt (- (* (- x -1) (* (/ -1 (- 1 x)) (+ (* (+ t t) t) (* l l)))) (* l l))) (- (* (- x -1) (* (/ -1 (- 1 x)) (+ (* (+ t t) t) (* l l)))) (* l l)) (* (- x -1) (* (/ -1 (- 1 x)) (+ (* (+ t t) t) (* l l)))) (* (/ -1 (- 1 x)) (+ (* (+ t t) t) (* l l))) (/ -1 (- 1 x)) (- 1 x) (/ (* (sqrt 2) t) (sqrt (- (* (/ (* (+ (* (* x x) x) 1) (/ 1 (+ (* x x) (- 1 x)))) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (- (* (/ (* (+ (* (* x x) x) 1) (/ 1 (+ (* x x) (- 1 x)))) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (- (* (/ (* (+ (* (* x x) x) 1) (/ 1 (+ (* x x) (- 1 x)))) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (* (/ (* (+ (* (* x x) x) 1) (/ 1 (+ (* x x) (- 1 x)))) (- x 1)) (+ (* l l) (* 2 (* t t)))) (/ (* (+ (* (* x x) x) 1) (/ 1 (+ (* x x) (- 1 x)))) (- x 1)) (* (+ (* (* x x) x) 1) (/ 1 (+ (* x x) (- 1 x)))) (+ (* (* x x) x) 1) (* x x) (/ 1 (+ (* x x) (- 1 x))) (+ (* x x) (- 1 x)) (+ (* l l) (* 2 (* t t))) (* 2 (* t t)) (* t t))
16.0ms
x
@inf
((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/ (sqrt 2) (sqrt (* 2 (/ (+ 1 x) (- x 1))))) (sqrt 2) 2 (sqrt (* 2 (/ (+ 1 x) (- x 1)))) (* 2 (/ (+ 1 x) (- x 1))) (/ (+ 1 x) (- x 1)) (+ 1 x) 1 x (- x 1) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* -1 (/ (sqrt 2) (sqrt (* 2 (/ (+ 1 x) (- x 1)))))) -1 (/ (* (sqrt 2) t) (sqrt (- (* (- x -1) (/ (+ (* (+ t t) t) (* l l)) (- x 1))) (* l l)))) (* (sqrt 2) t) t (sqrt (- (* (- x -1) (/ (+ (* (+ t t) t) (* l l)) (- x 1))) (* l l))) (- (* (- x -1) (/ (+ (* (+ t t) t) (* l l)) (- x 1))) (* l l)) (* (- x -1) (/ (+ (* (+ t t) t) (* l l)) (- x 1))) (- x -1) (/ (+ (* (+ t t) t) (* l l)) (- x 1)) (+ (* (+ t t) t) (* l l)) (+ t t) (* l l) l (/ (* (sqrt 2) t) (sqrt (- (* (- x -1) (* (/ -1 (- 1 x)) (+ (* (+ t t) t) (* l l)))) (* l l)))) (sqrt (- (* (- x -1) (* (/ -1 (- 1 x)) (+ (* (+ t t) t) (* l l)))) (* l l))) (- (* (- x -1) (* (/ -1 (- 1 x)) (+ (* (+ t t) t) (* l l)))) (* l l)) (* (- x -1) (* (/ -1 (- 1 x)) (+ (* (+ t t) t) (* l l)))) (* (/ -1 (- 1 x)) (+ (* (+ t t) t) (* l l))) (/ -1 (- 1 x)) (- 1 x) (/ (* (sqrt 2) t) (sqrt (- (* (/ (* (+ (* (* x x) x) 1) (/ 1 (+ (* x x) (- 1 x)))) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (- (* (/ (* (+ (* (* x x) x) 1) (/ 1 (+ (* x x) (- 1 x)))) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (- (* (/ (* (+ (* (* x x) x) 1) (/ 1 (+ (* x x) (- 1 x)))) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (* (/ (* (+ (* (* x x) x) 1) (/ 1 (+ (* x x) (- 1 x)))) (- x 1)) (+ (* l l) (* 2 (* t t)))) (/ (* (+ (* (* x x) x) 1) (/ 1 (+ (* x x) (- 1 x)))) (- x 1)) (* (+ (* (* x x) x) 1) (/ 1 (+ (* x x) (- 1 x)))) (+ (* (* x x) x) 1) (* x x) (/ 1 (+ (* x x) (- 1 x))) (+ (* x x) (- 1 x)) (+ (* l l) (* 2 (* t t))) (* 2 (* t t)) (* t t))
15.0ms
x
@0
((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/ (sqrt 2) (sqrt (* 2 (/ (+ 1 x) (- x 1))))) (sqrt 2) 2 (sqrt (* 2 (/ (+ 1 x) (- x 1)))) (* 2 (/ (+ 1 x) (- x 1))) (/ (+ 1 x) (- x 1)) (+ 1 x) 1 x (- x 1) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* -1 (/ (sqrt 2) (sqrt (* 2 (/ (+ 1 x) (- x 1)))))) -1 (/ (* (sqrt 2) t) (sqrt (- (* (- x -1) (/ (+ (* (+ t t) t) (* l l)) (- x 1))) (* l l)))) (* (sqrt 2) t) t (sqrt (- (* (- x -1) (/ (+ (* (+ t t) t) (* l l)) (- x 1))) (* l l))) (- (* (- x -1) (/ (+ (* (+ t t) t) (* l l)) (- x 1))) (* l l)) (* (- x -1) (/ (+ (* (+ t t) t) (* l l)) (- x 1))) (- x -1) (/ (+ (* (+ t t) t) (* l l)) (- x 1)) (+ (* (+ t t) t) (* l l)) (+ t t) (* l l) l (/ (* (sqrt 2) t) (sqrt (- (* (- x -1) (* (/ -1 (- 1 x)) (+ (* (+ t t) t) (* l l)))) (* l l)))) (sqrt (- (* (- x -1) (* (/ -1 (- 1 x)) (+ (* (+ t t) t) (* l l)))) (* l l))) (- (* (- x -1) (* (/ -1 (- 1 x)) (+ (* (+ t t) t) (* l l)))) (* l l)) (* (- x -1) (* (/ -1 (- 1 x)) (+ (* (+ t t) t) (* l l)))) (* (/ -1 (- 1 x)) (+ (* (+ t t) t) (* l l))) (/ -1 (- 1 x)) (- 1 x) (/ (* (sqrt 2) t) (sqrt (- (* (/ (* (+ (* (* x x) x) 1) (/ 1 (+ (* x x) (- 1 x)))) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (- (* (/ (* (+ (* (* x x) x) 1) (/ 1 (+ (* x x) (- 1 x)))) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (- (* (/ (* (+ (* (* x x) x) 1) (/ 1 (+ (* x x) (- 1 x)))) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (* (/ (* (+ (* (* x x) x) 1) (/ 1 (+ (* x x) (- 1 x)))) (- x 1)) (+ (* l l) (* 2 (* t t)))) (/ (* (+ (* (* x x) x) 1) (/ 1 (+ (* x x) (- 1 x)))) (- x 1)) (* (+ (* (* x x) x) 1) (/ 1 (+ (* x x) (- 1 x)))) (+ (* (* x x) x) 1) (* x x) (/ 1 (+ (* x x) (- 1 x))) (+ (* x x) (- 1 x)) (+ (* l l) (* 2 (* t t))) (* 2 (* t t)) (* t t))
13.0ms
t
@inf
((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/ (sqrt 2) (sqrt (* 2 (/ (+ 1 x) (- x 1))))) (sqrt 2) 2 (sqrt (* 2 (/ (+ 1 x) (- x 1)))) (* 2 (/ (+ 1 x) (- x 1))) (/ (+ 1 x) (- x 1)) (+ 1 x) 1 x (- x 1) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* -1 (/ (sqrt 2) (sqrt (* 2 (/ (+ 1 x) (- x 1)))))) -1 (/ (* (sqrt 2) t) (sqrt (- (* (- x -1) (/ (+ (* (+ t t) t) (* l l)) (- x 1))) (* l l)))) (* (sqrt 2) t) t (sqrt (- (* (- x -1) (/ (+ (* (+ t t) t) (* l l)) (- x 1))) (* l l))) (- (* (- x -1) (/ (+ (* (+ t t) t) (* l l)) (- x 1))) (* l l)) (* (- x -1) (/ (+ (* (+ t t) t) (* l l)) (- x 1))) (- x -1) (/ (+ (* (+ t t) t) (* l l)) (- x 1)) (+ (* (+ t t) t) (* l l)) (+ t t) (* l l) l (/ (* (sqrt 2) t) (sqrt (- (* (- x -1) (* (/ -1 (- 1 x)) (+ (* (+ t t) t) (* l l)))) (* l l)))) (sqrt (- (* (- x -1) (* (/ -1 (- 1 x)) (+ (* (+ t t) t) (* l l)))) (* l l))) (- (* (- x -1) (* (/ -1 (- 1 x)) (+ (* (+ t t) t) (* l l)))) (* l l)) (* (- x -1) (* (/ -1 (- 1 x)) (+ (* (+ t t) t) (* l l)))) (* (/ -1 (- 1 x)) (+ (* (+ t t) t) (* l l))) (/ -1 (- 1 x)) (- 1 x) (/ (* (sqrt 2) t) (sqrt (- (* (/ (* (+ (* (* x x) x) 1) (/ 1 (+ (* x x) (- 1 x)))) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (- (* (/ (* (+ (* (* x x) x) 1) (/ 1 (+ (* x x) (- 1 x)))) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (- (* (/ (* (+ (* (* x x) x) 1) (/ 1 (+ (* x x) (- 1 x)))) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (* (/ (* (+ (* (* x x) x) 1) (/ 1 (+ (* x x) (- 1 x)))) (- x 1)) (+ (* l l) (* 2 (* t t)))) (/ (* (+ (* (* x x) x) 1) (/ 1 (+ (* x x) (- 1 x)))) (- x 1)) (* (+ (* (* x x) x) 1) (/ 1 (+ (* x x) (- 1 x)))) (+ (* (* x x) x) 1) (* x x) (/ 1 (+ (* x x) (- 1 x))) (+ (* x x) (- 1 x)) (+ (* l l) (* 2 (* t t))) (* 2 (* t t)) (* t t))

rewrite58.0ms (1.1%)

Memory
-9.0MiB live, 82.6MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059590
0100548
0519548
Stop Event
iter-limit
iter-limit
iter-limit
unsound
iter-limit
Counts
46 → 289
Calls
Call 1
Inputs
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 x #s(literal 1 binary64))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))))))
(*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))))))
#s(literal -1 binary64)
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
t
(sqrt.f64 (-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)))
(-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l))
(*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal 1 binary64))))
(-.f64 x #s(literal -1 binary64))
(/.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal 1 binary64)))
(fma.f64 (+.f64 t t) t (*.f64 l l))
(+.f64 t t)
(*.f64 l l)
l
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (+.f64 t t) t (*.f64 l l)))) (*.f64 l l))))
(sqrt.f64 (-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (+.f64 t t) t (*.f64 l l)))) (*.f64 l l)))
(-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (+.f64 t t) t (*.f64 l l)))) (*.f64 l l))
(*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (+.f64 t t) t (*.f64 l l))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (+.f64 t t) t (*.f64 l l)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))))
(sqrt.f64 (-.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l)))
(-.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t))))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (-.f64 x #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (*.f64 x x) x #s(literal 1 binary64))
(*.f64 x x)
(/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(fma.f64 x x (-.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))
(*.f64 #s(literal 2 binary64) (*.f64 t t))
(*.f64 t t)
Outputs
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 #s(literal 2 binary64)))
#s(literal 2 binary64)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))))
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))))
(fabs.f64 (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(fma.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
(*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 x (-.f64 x #s(literal 1 binary64))))
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(+.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 x (-.f64 x #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64)))))
(neg.f64 (-.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 x #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
x
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))))
(neg.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 x #s(literal 1 binary64))
(+.f64 x #s(literal -1 binary64))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))))))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))))) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))))))
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eval114.0ms (2.2%)

Memory
3.4MiB live, 144.4MiB allocated; 16ms collecting garbage
Compiler

Compiled 60 626 to 4 654 computations (92.3% saved)

prune31.0ms (0.6%)

Memory
41.4MiB live, 41.4MiB allocated; 0ms collecting garbage
Pruning

24 alts after pruning (23 fresh and 1 done)

PrunedKeptTotal
New71717734
Fresh5611
Picked415
Done000
Total72624750
Accuracy
92.8%
Counts
750 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.0%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l))))
27.1%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 l) l))))
37.3%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) l) l (-.f64 (*.f64 (*.f64 (+.f64 t t) t) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (*.f64 l l)))))
29.9%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (/.f64 (*.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))))
37.1%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))))
15.3%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 (+.f64 t t) t))) (*.f64 l l))))
32.8%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l))))
32.6%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (+.f64 t t) t (*.f64 l l))))) (*.f64 l l))))
31.1%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 #s(approx (/ -1 (- 1 x)) (/.f64 #s(literal 1 binary64) x)) (fma.f64 (+.f64 t t) t (*.f64 l l)))) (*.f64 l l))))
37.2%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 l l) (*.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64)))) (fma.f64 (+.f64 t t) t (*.f64 l l))) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
53.9%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (* (+ (* (* x x) x) 1) (/ 1 (+ (* x x) (- 1 x)))) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64))) x) (*.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)))))))
3.2%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (- x -1) (* (/ -1 (- 1 x)) (+ (* (+ t t) t) (* l l)))) (* l l))) (*.f64 l (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))))
26.8%
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (*.f64 l l)))))
77.4%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))))))
25.6%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))))) (-.f64 x #s(literal 1 binary64)))))))
40.2%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))))))
76.1%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) x)))))))
75.3%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) #s(literal 2 binary64)))))
76.2%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (* 2 (/ (+ 1 x) (- x 1)))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))))))
1.7%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))))))))
1.7%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) x))))))))
1.7%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) #s(literal 2 binary64))))))
77.4%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))))))
1.7%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))))))
Compiler

Compiled 1 878 to 1 222 computations (34.9% saved)

series199.0ms (3.8%)

Memory
-21.0MiB live, 358.0MiB allocated; 81ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0226435899
Stop Event
iter-limit
Counts
46 → 330
Calls
Call 1
Inputs
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))))))
(sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))))
#s(literal 2 binary64)
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) #s(literal 2 binary64))))
(sqrt.f64 #s(literal 2 binary64))
(sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) #s(literal 2 binary64)))
#s(approx (* 2 (/ (+ 1 x) (- x 1))) #s(literal 2 binary64))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) x))))))))
(*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) x)))))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) x))))))
(sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* 2 (/ (+ 1 x) (- x 1))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) x))
#s(literal 4 binary64)
(/.f64 #s(literal 1 binary64) x)
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (*.f64 l l)))))
t
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (*.f64 l l))))
(sqrt.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (*.f64 l l)))
(-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (*.f64 l l))
(/.f64 (*.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
(*.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 #s(literal -1 binary64) x))
(fma.f64 (+.f64 t t) t (*.f64 l l))
(+.f64 t t)
(*.f64 l l)
l
(-.f64 #s(literal -1 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 l) l))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(sqrt.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 l) l)))
(fma.f64 (*.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 l) l))
(*.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))
(*.f64 (neg.f64 l) l)
(neg.f64 l)
Outputs
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (pow.f64 l #s(literal 2 binary64))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 t (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (pow.f64 l #s(literal 2 binary64)))) #s(literal 3 binary64))) (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (pow.f64 l #s(literal 2 binary64)))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (fma.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (pow.f64 l #s(literal 2 binary64)))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (pow.f64 l #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (pow.f64 l #s(literal 2 binary64)))) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (pow.f64 l #s(literal 2 binary64)))) #s(literal 3 binary64))))) (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (pow.f64 l #s(literal 2 binary64)))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (fma.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (pow.f64 l #s(literal 2 binary64)))) #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (pow.f64 l #s(literal 2 binary64)))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 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#s(approx t t)
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Calls

9 calls:

TimeVariablePointExpression
18.0ms
t
@0
((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (/ 2 (/ (* 2 (- x -1)) (- x 1)))) (/ 2 (/ (* 2 (- x -1)) (- x 1))) 2 (/ (* 2 (- x -1)) (- x 1)) (* 2 (- x -1)) (- x -1) x -1 (- x 1) 1 (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/ (sqrt 2) (sqrt (* 2 (/ (+ 1 x) (- x 1))))) (sqrt 2) (sqrt (* 2 (/ (+ 1 x) (- x 1)))) (* 2 (/ (+ 1 x) (- x 1))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* -1 (/ (sqrt 2) (sqrt (* 2 (/ (+ 1 x) (- x 1)))))) (/ (sqrt 2) (sqrt (* 2 (/ (+ 1 x) (- x 1))))) (sqrt (* 2 (/ (+ 1 x) (- x 1)))) (* 2 (/ (+ 1 x) (- x 1))) (+ 2 (* 4 (/ 1 x))) (* 4 (/ 1 x)) 4 (/ 1 x) (* t (/ (sqrt 2) (sqrt (- (/ (* (+ (* (+ t t) t) (* l l)) (- -1 x)) (- 1 x)) (* l l))))) t (/ (sqrt 2) (sqrt (- (/ (* (+ (* (+ t t) t) (* l l)) (- -1 x)) (- 1 x)) (* l l)))) (sqrt (- (/ (* (+ (* (+ t t) t) (* l l)) (- -1 x)) (- 1 x)) (* l l))) (- (/ (* (+ (* (+ t t) t) (* l l)) (- -1 x)) (- 1 x)) (* l l)) (/ (* (+ (* (+ t t) t) (* l l)) (- -1 x)) (- 1 x)) (* (+ (* (+ t t) t) (* l l)) (- -1 x)) (+ (* (+ t t) t) (* l l)) (+ t t) (* l l) l (- -1 x) (- 1 x) (/ (* (sqrt 2) t) (sqrt (+ (* (* (+ (* (+ t t) t) (* l l)) (- x -1)) (/ -1 (- 1 x))) (* (neg l) l)))) (* (sqrt 2) t) (sqrt (+ (* (* (+ (* (+ t t) t) (* l l)) (- x -1)) (/ -1 (- 1 x))) (* (neg l) l))) (+ (* (* (+ (* (+ t t) t) (* l l)) (- x -1)) (/ -1 (- 1 x))) (* (neg l) l)) (* (+ (* (+ t t) t) (* l l)) (- x -1)) (/ -1 (- 1 x)) (* (neg l) l) (neg l))
16.0ms
x
@inf
((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (/ 2 (/ (* 2 (- x -1)) (- x 1)))) (/ 2 (/ (* 2 (- x -1)) (- x 1))) 2 (/ (* 2 (- x -1)) (- x 1)) (* 2 (- x -1)) (- x -1) x -1 (- x 1) 1 (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/ (sqrt 2) (sqrt (* 2 (/ (+ 1 x) (- x 1))))) (sqrt 2) (sqrt (* 2 (/ (+ 1 x) (- x 1)))) (* 2 (/ (+ 1 x) (- x 1))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* -1 (/ (sqrt 2) (sqrt (* 2 (/ (+ 1 x) (- x 1)))))) (/ (sqrt 2) (sqrt (* 2 (/ (+ 1 x) (- x 1))))) (sqrt (* 2 (/ (+ 1 x) (- x 1)))) (* 2 (/ (+ 1 x) (- x 1))) (+ 2 (* 4 (/ 1 x))) (* 4 (/ 1 x)) 4 (/ 1 x) (* t (/ (sqrt 2) (sqrt (- (/ (* (+ (* (+ t t) t) (* l l)) (- -1 x)) (- 1 x)) (* l l))))) t (/ (sqrt 2) (sqrt (- (/ (* (+ (* (+ t t) t) (* l l)) (- -1 x)) (- 1 x)) (* l l)))) (sqrt (- (/ (* (+ (* (+ t t) t) (* l l)) (- -1 x)) (- 1 x)) (* l l))) (- (/ (* (+ (* (+ t t) t) (* l l)) (- -1 x)) (- 1 x)) (* l l)) (/ (* (+ (* (+ t t) t) (* l l)) (- -1 x)) (- 1 x)) (* (+ (* (+ t t) t) (* l l)) (- -1 x)) (+ (* (+ t t) t) (* l l)) (+ t t) (* l l) l (- -1 x) (- 1 x) (/ (* (sqrt 2) t) (sqrt (+ (* (* (+ (* (+ t t) t) (* l l)) (- x -1)) (/ -1 (- 1 x))) (* (neg l) l)))) (* (sqrt 2) t) (sqrt (+ (* (* (+ (* (+ t t) t) (* l l)) (- x -1)) (/ -1 (- 1 x))) (* (neg l) l))) (+ (* (* (+ (* (+ t t) t) (* l l)) (- x -1)) (/ -1 (- 1 x))) (* (neg l) l)) (* (+ (* (+ t t) t) (* l l)) (- x -1)) (/ -1 (- 1 x)) (* (neg l) l) (neg l))
16.0ms
x
@-inf
((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (/ 2 (/ (* 2 (- x -1)) (- x 1)))) (/ 2 (/ (* 2 (- x -1)) (- x 1))) 2 (/ (* 2 (- x -1)) (- x 1)) (* 2 (- x -1)) (- x -1) x -1 (- x 1) 1 (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/ (sqrt 2) (sqrt (* 2 (/ (+ 1 x) (- x 1))))) (sqrt 2) (sqrt (* 2 (/ (+ 1 x) (- x 1)))) (* 2 (/ (+ 1 x) (- x 1))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* -1 (/ (sqrt 2) (sqrt (* 2 (/ (+ 1 x) (- x 1)))))) (/ (sqrt 2) (sqrt (* 2 (/ (+ 1 x) (- x 1))))) (sqrt (* 2 (/ (+ 1 x) (- x 1)))) (* 2 (/ (+ 1 x) (- x 1))) (+ 2 (* 4 (/ 1 x))) (* 4 (/ 1 x)) 4 (/ 1 x) (* t (/ (sqrt 2) (sqrt (- (/ (* (+ (* (+ t t) t) (* l l)) (- -1 x)) (- 1 x)) (* l l))))) t (/ (sqrt 2) (sqrt (- (/ (* (+ (* (+ t t) t) (* l l)) (- -1 x)) (- 1 x)) (* l l)))) (sqrt (- (/ (* (+ (* (+ t t) t) (* l l)) (- -1 x)) (- 1 x)) (* l l))) (- (/ (* (+ (* (+ t t) t) (* l l)) (- -1 x)) (- 1 x)) (* l l)) (/ (* (+ (* (+ t t) t) (* l l)) (- -1 x)) (- 1 x)) (* (+ (* (+ t t) t) (* l l)) (- -1 x)) (+ (* (+ t t) t) (* l l)) (+ t t) (* l l) l (- -1 x) (- 1 x) (/ (* (sqrt 2) t) (sqrt (+ (* (* (+ (* (+ t t) t) (* l l)) (- x -1)) (/ -1 (- 1 x))) (* (neg l) l)))) (* (sqrt 2) t) (sqrt (+ (* (* (+ (* (+ t t) t) (* l l)) (- x -1)) (/ -1 (- 1 x))) (* (neg l) l))) (+ (* (* (+ (* (+ t t) t) (* l l)) (- x -1)) (/ -1 (- 1 x))) (* (neg l) l)) (* (+ (* (+ t t) t) (* l l)) (- x -1)) (/ -1 (- 1 x)) (* (neg l) l) (neg l))
9.0ms
x
@0
((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (/ 2 (/ (* 2 (- x -1)) (- x 1)))) (/ 2 (/ (* 2 (- x -1)) (- x 1))) 2 (/ (* 2 (- x -1)) (- x 1)) (* 2 (- x -1)) (- x -1) x -1 (- x 1) 1 (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/ (sqrt 2) (sqrt (* 2 (/ (+ 1 x) (- x 1))))) (sqrt 2) (sqrt (* 2 (/ (+ 1 x) (- x 1)))) (* 2 (/ (+ 1 x) (- x 1))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* -1 (/ (sqrt 2) (sqrt (* 2 (/ (+ 1 x) (- x 1)))))) (/ (sqrt 2) (sqrt (* 2 (/ (+ 1 x) (- x 1))))) (sqrt (* 2 (/ (+ 1 x) (- x 1)))) (* 2 (/ (+ 1 x) (- x 1))) (+ 2 (* 4 (/ 1 x))) (* 4 (/ 1 x)) 4 (/ 1 x) (* t (/ (sqrt 2) (sqrt (- (/ (* (+ (* (+ t t) t) (* l l)) (- -1 x)) (- 1 x)) (* l l))))) t (/ (sqrt 2) (sqrt (- (/ (* (+ (* (+ t t) t) (* l l)) (- -1 x)) (- 1 x)) (* l l)))) (sqrt (- (/ (* (+ (* (+ t t) t) (* l l)) (- -1 x)) (- 1 x)) (* l l))) (- (/ (* (+ (* (+ t t) t) (* l l)) (- -1 x)) (- 1 x)) (* l l)) (/ (* (+ (* (+ t t) t) (* l l)) (- -1 x)) (- 1 x)) (* (+ (* (+ t t) t) (* l l)) (- -1 x)) (+ (* (+ t t) t) (* l l)) (+ t t) (* l l) l (- -1 x) (- 1 x) (/ (* (sqrt 2) t) (sqrt (+ (* (* (+ (* (+ t t) t) (* l l)) (- x -1)) (/ -1 (- 1 x))) (* (neg l) l)))) (* (sqrt 2) t) (sqrt (+ (* (* (+ (* (+ t t) t) (* l l)) (- x -1)) (/ -1 (- 1 x))) (* (neg l) l))) (+ (* (* (+ (* (+ t t) t) (* l l)) (- x -1)) (/ -1 (- 1 x))) (* (neg l) l)) (* (+ (* (+ t t) t) (* l l)) (- x -1)) (/ -1 (- 1 x)) (* (neg l) l) (neg l))
6.0ms
t
@inf
((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (/ 2 (/ (* 2 (- x -1)) (- x 1)))) (/ 2 (/ (* 2 (- x -1)) (- x 1))) 2 (/ (* 2 (- x -1)) (- x 1)) (* 2 (- x -1)) (- x -1) x -1 (- x 1) 1 (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/ (sqrt 2) (sqrt (* 2 (/ (+ 1 x) (- x 1))))) (sqrt 2) (sqrt (* 2 (/ (+ 1 x) (- x 1)))) (* 2 (/ (+ 1 x) (- x 1))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* -1 (/ (sqrt 2) (sqrt (* 2 (/ (+ 1 x) (- x 1)))))) (/ (sqrt 2) (sqrt (* 2 (/ (+ 1 x) (- x 1))))) (sqrt (* 2 (/ (+ 1 x) (- x 1)))) (* 2 (/ (+ 1 x) (- x 1))) (+ 2 (* 4 (/ 1 x))) (* 4 (/ 1 x)) 4 (/ 1 x) (* t (/ (sqrt 2) (sqrt (- (/ (* (+ (* (+ t t) t) (* l l)) (- -1 x)) (- 1 x)) (* l l))))) t (/ (sqrt 2) (sqrt (- (/ (* (+ (* (+ t t) t) (* l l)) (- -1 x)) (- 1 x)) (* l l)))) (sqrt (- (/ (* (+ (* (+ t t) t) (* l l)) (- -1 x)) (- 1 x)) (* l l))) (- (/ (* (+ (* (+ t t) t) (* l l)) (- -1 x)) (- 1 x)) (* l l)) (/ (* (+ (* (+ t t) t) (* l l)) (- -1 x)) (- 1 x)) (* (+ (* (+ t t) t) (* l l)) (- -1 x)) (+ (* (+ t t) t) (* l l)) (+ t t) (* l l) l (- -1 x) (- 1 x) (/ (* (sqrt 2) t) (sqrt (+ (* (* (+ (* (+ t t) t) (* l l)) (- x -1)) (/ -1 (- 1 x))) (* (neg l) l)))) (* (sqrt 2) t) (sqrt (+ (* (* (+ (* (+ t t) t) (* l l)) (- x -1)) (/ -1 (- 1 x))) (* (neg l) l))) (+ (* (* (+ (* (+ t t) t) (* l l)) (- x -1)) (/ -1 (- 1 x))) (* (neg l) l)) (* (+ (* (+ t t) t) (* l l)) (- x -1)) (/ -1 (- 1 x)) (* (neg l) l) (neg l))

rewrite57.0ms (1.1%)

Memory
28.3MiB live, 72.0MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062557
099521
0498521
Stop Event
iter-limit
iter-limit
iter-limit
unsound
iter-limit
Counts
46 → 225
Calls
Call 1
Inputs
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))))))
(sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))))
#s(literal 2 binary64)
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) #s(literal 2 binary64))))
(sqrt.f64 #s(literal 2 binary64))
(sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) #s(literal 2 binary64)))
#s(approx (* 2 (/ (+ 1 x) (- x 1))) #s(literal 2 binary64))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) x))))))))
(*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) x)))))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) x))))))
(sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* 2 (/ (+ 1 x) (- x 1))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) x))
#s(literal 4 binary64)
(/.f64 #s(literal 1 binary64) x)
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (*.f64 l l)))))
t
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (*.f64 l l))))
(sqrt.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (*.f64 l l)))
(-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (*.f64 l l))
(/.f64 (*.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
(*.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 #s(literal -1 binary64) x))
(fma.f64 (+.f64 t t) t (*.f64 l l))
(+.f64 t t)
(*.f64 l l)
l
(-.f64 #s(literal -1 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 l) l))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(sqrt.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 l) l)))
(fma.f64 (*.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 l) l))
(*.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))
(*.f64 (neg.f64 l) l)
(neg.f64 l)
Outputs
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 x #s(literal 1 binary64)))))
(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))))
(sqrt.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 x #s(literal 1 binary64))))
(fabs.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal -2 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64))))
#s(literal 2 binary64)
(*.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))))
(fma.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x (-.f64 x #s(literal -1 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64))) #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x (-.f64 x #s(literal -1 binary64)))
(+.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64)))))
(neg.f64 (-.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 x #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
x
#s(literal -1 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))))
(neg.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 x #s(literal 1 binary64))
(+.f64 x #s(literal -1 binary64))
#s(literal 1 binary64)
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (* 2 (/ (+ 1 x) (- x 1))) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (* 2 (/ (+ 1 x) (- x 1))) #s(literal 2 binary64))))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) #s(literal 2 binary64)))
(fabs.f64 (sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) #s(literal 2 binary64))))
#s(approx (* 2 (/ (+ 1 x) (- x 1))) #s(literal 2 binary64))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (* 2 (/ (+ 1 x) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (* 2 (/ (+ 1 x) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (* 2 (/ (+ 1 x) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64))))))
(/.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (* 2 (/ (+ 1 x) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64))))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (* 2 (/ (+ 1 x) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))))
(pow.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64))))
(fabs.f64 (sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))))
#s(approx (* 2 (/ (+ 1 x) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 #s(literal 4 binary64) x))) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) x)))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 #s(literal 4 binary64) x)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 4 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 2 binary64) (neg.f64 (/.f64 #s(literal 4 binary64) x)))
(+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 4 binary64) x)
#s(literal 4 binary64)
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) x)
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 (+.f64 t t) t (*.f64 l l))) (-.f64 #s(literal 1 binary64) x)) (*.f64 l l)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 (+.f64 t t) t (*.f64 l l))) (-.f64 #s(literal 1 binary64) x)) (*.f64 l l)))) t)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 t (sqrt.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 (+.f64 t t) t (*.f64 l l))) (-.f64 #s(literal 1 binary64) x)) (*.f64 l l)))))
(*.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 (+.f64 t t) t (*.f64 l l))) (-.f64 #s(literal 1 binary64) x)) (*.f64 l l)))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (neg.f64 (sqrt.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 (+.f64 t t) t (*.f64 l l))) (-.f64 #s(literal 1 binary64) x)) (*.f64 l l)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 (+.f64 t t) t (*.f64 l l))) (-.f64 #s(literal 1 binary64) x)) (*.f64 l l))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 (+.f64 t t) t (*.f64 l l))) (-.f64 #s(literal 1 binary64) x)) (*.f64 l l))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
t
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 (+.f64 t t) t (*.f64 l l))) (-.f64 #s(literal 1 binary64) x)) (*.f64 l l)))))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 (+.f64 t t) t (*.f64 l l))) (-.f64 #s(literal 1 binary64) x)) (*.f64 l l)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 (+.f64 t t) t (*.f64 l l))) (-.f64 #s(literal 1 binary64) x)) (*.f64 l l))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 (+.f64 t t) t (*.f64 l l))) (-.f64 #s(literal 1 binary64) x)) (*.f64 l l))) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 (+.f64 t t) t (*.f64 l l))) (-.f64 #s(literal 1 binary64) x)) (*.f64 l l))))
(pow.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 (+.f64 t t) t (*.f64 l l))) (-.f64 #s(literal 1 binary64) x)) (*.f64 l l)) #s(literal 1/2 binary64))
(sqrt.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 (+.f64 t t) t (*.f64 l l))) (-.f64 #s(literal 1 binary64) x)) (*.f64 l l)))
(fabs.f64 (sqrt.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 (+.f64 t t) t (*.f64 l l))) (-.f64 #s(literal 1 binary64) x)) (*.f64 l l))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 l) l) (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 (+.f64 t t) t (*.f64 l l))) (-.f64 #s(literal 1 binary64) x)))) (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 (+.f64 t t) t (*.f64 l l))) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 l l) (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 (+.f64 t t) t (*.f64 l l))) (-.f64 #s(literal 1 binary64) x)))) (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 (+.f64 t t) t (*.f64 l l))) (-.f64 #s(literal 1 binary64) x)))
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(-.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 (+.f64 t t) t (*.f64 l l))) (-.f64 #s(literal 1 binary64) x)) (*.f64 l l))
(+.f64 (*.f64 (neg.f64 l) l) (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 (+.f64 t t) t (*.f64 l l))) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 (+.f64 t t) t (*.f64 l l))) (-.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 l) l))
(*.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal -1 binary64)))
(*.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 (+.f64 t t) t (*.f64 l l)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 l) l)
(*.f64 l (neg.f64 l))
(neg.f64 (*.f64 l l))
(neg.f64 l)

eval106.0ms (2%)

Memory
5.1MiB live, 233.6MiB allocated; 55ms collecting garbage
Compiler

Compiled 48 449 to 3 799 computations (92.2% saved)

prune46.0ms (0.9%)

Memory
9.4MiB live, 104.4MiB allocated; 21ms collecting garbage
Pruning

33 alts after pruning (31 fresh and 2 done)

PrunedKeptTotal
New54318561
Fresh51318
Picked415
Done011
Total55233585
Accuracy
92.9%
Counts
585 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.0%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l))))
27.1%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 l) l))))
37.3%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) l) l (-.f64 (*.f64 (*.f64 (+.f64 t t) t) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (*.f64 l l)))))
29.9%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (/.f64 (*.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))))
37.1%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))))
15.3%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 (+.f64 t t) t))) (*.f64 l l))))
32.8%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l))))
32.6%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (+.f64 t t) t (*.f64 l l))))) (*.f64 l l))))
31.1%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 #s(approx (/ -1 (- 1 x)) (/.f64 #s(literal 1 binary64) x)) (fma.f64 (+.f64 t t) t (*.f64 l l)))) (*.f64 l l))))
37.2%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 l l) (*.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64)))) (fma.f64 (+.f64 t t) t (*.f64 l l))) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
53.9%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (* (+ (* (* x x) x) 1) (/ 1 (+ (* x x) (- 1 x)))) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64))) x) (*.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)))))))
26.9%
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 (+.f64 t t) t (*.f64 l l))) (-.f64 #s(literal 1 binary64) x)) (*.f64 l l)))) t)
27.1%
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal -1 binary64))) (*.f64 (neg.f64 l) l)))))
30.0%
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (neg.f64 l) l (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 (+.f64 t t) t (*.f64 l l))) (-.f64 #s(literal 1 binary64) x))))))
54.0%
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(approx (- (/ (* (+ (* (+ t t) t) (* l l)) (- -1 x)) (- 1 x)) (* l l)) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) x) (*.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64))))))))
77.0%
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- (/ (* (+ (* (+ t t) t) (* l l)) (- -1 x)) (- 1 x)) (* l l))) (*.f64 t (sqrt.f64 (*.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))))))
3.2%
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- (/ (* (+ (* (+ t t) t) (* l l)) (- -1 x)) (- 1 x)) (* l l))) (*.f64 l (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))))))
1.7%
(*.f64 t #s(approx (/ (sqrt 2) (sqrt (- (/ (* (+ (* (+ t t) t) (* l l)) (- -1 x)) (- 1 x)) (* l l)))) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (sqrt.f64 (*.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))))))
1.7%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64))))))
76.1%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) x)))))))
1.7%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))))))))
1.7%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) #s(literal 2 binary64))))))
40.2%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64))))))
5.1%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (/ (* 2 (- x -1)) (- x 1)) (-.f64 (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -4 binary64) x) #s(literal 4 binary64))) #s(literal 4 binary64))) #s(literal 2 binary64))))))
3.2%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (/ (* 2 (- x -1)) (- x 1)) (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -4 binary64) x) #s(literal 4 binary64))) #s(literal 2 binary64))))))
75.3%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (* 2 (/ (+ 1 x) (- x 1))) #s(literal 2 binary64)))))
77.2%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 x #s(literal 1 binary64)))))
76.1%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 #s(approx (/ 2 (/ (* 2 (- x -1)) (- x 1))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))))
0.0%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 #s(approx (/ 2 (/ (* 2 (- x -1)) (- x 1))) #s(literal -1 binary64))))
1.7%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))))))
1.7%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (* 2 (/ (+ 1 x) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))))))
76.2%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (sqrt (/ 2 (/ (* 2 (- x -1)) (- x 1)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
76.5%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (sqrt (/ 2 (/ (* 2 (- x -1)) (- x 1)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)))))
Compiler

Compiled 2 614 to 1 700 computations (35% saved)

series147.0ms (2.8%)

Memory
-43.2MiB live, 295.7MiB allocated; 83ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0145318603
Stop Event
iter-limit
Counts
43 → 203
Calls
Call 1
Inputs
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 x #s(literal 1 binary64)))))
(sqrt.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))
#s(literal 2 binary64)
(*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))
(-.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 #s(approx (/ 2 (/ (* 2 (- x -1)) (- x 1))) #s(literal -1 binary64))))
(sqrt.f64 #s(approx (/ 2 (/ (* 2 (- x -1)) (- x 1))) #s(literal -1 binary64)))
#s(approx (/ 2 (/ (* 2 (- x -1)) (- x 1))) #s(literal -1 binary64))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64))))))
(/.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64))))
#s(approx (* 2 (/ (+ 1 x) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))
(+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64))
(/.f64 #s(literal 4 binary64) x)
#s(literal 4 binary64)
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64))))))
(sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
t
(sqrt.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l)))
(fma.f64 (/.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l))
(/.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal 1 binary64)))
(fma.f64 (+.f64 t t) t (*.f64 l l))
(+.f64 t t)
(*.f64 l l)
l
(*.f64 (neg.f64 l) l)
(neg.f64 l)
Outputs
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (pow.f64 l #s(literal 2 binary64))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 t (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (pow.f64 l #s(literal 2 binary64)))) #s(literal 3 binary64))) (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (pow.f64 l #s(literal 2 binary64)))))))
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#s(approx (sqrt (+ (* (/ (+ (* (+ t t) t) (* l l)) (- x 1)) (- x -1)) (* (neg l) l))) (*.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 l #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 l #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (*.f64 (pow.f64 t #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 l #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))) (*.f64 (pow.f64 t #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))))))))))))
Calls

9 calls:

TimeVariablePointExpression
36.0ms
t
@inf
((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (* (/ 2 (* (- x -1) 2)) (- x 1))) (* (/ 2 (* (- x -1) 2)) (- x 1)) (/ 2 (* (- x -1) 2)) 2 (* (- x -1) 2) (- x -1) x -1 (- x 1) 1 (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (/ 2 (/ (* 2 (- x -1)) (- x 1)))) (/ 2 (/ (* 2 (- x -1)) (- x 1))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/ (* -1 (sqrt 2)) (sqrt (* 2 (/ (+ 1 x) (- x 1))))) (* -1 (sqrt 2)) (sqrt 2) (sqrt (* 2 (/ (+ 1 x) (- x 1)))) (* 2 (/ (+ 1 x) (- x 1))) (+ (/ 4 x) 2) (/ 4 x) 4 (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (/ 2 (/ (* 2 (/ (- (* x x) 1) (- x 1))) (- x 1)))) (/ 2 (/ (* 2 (/ (- (* x x) 1) (- x 1))) (- x 1))) (/ (* 2 (/ (- (* x x) 1) (- x 1))) (- x 1)) (* 2 (/ (- (* x x) 1) (- x 1))) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (* x x) (/ (* (sqrt 2) t) (sqrt (+ (* (/ (+ (* (+ t t) t) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)))) (* (sqrt 2) t) t (sqrt (+ (* (/ (+ (* (+ t t) t) (* l l)) (- x 1)) (- x -1)) (* (neg l) l))) (+ (* (/ (+ (* (+ t t) t) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)) (/ (+ (* (+ t t) t) (* l l)) (- x 1)) (+ (* (+ t t) t) (* l l)) (+ t t) (* l l) l (* (neg l) l) (neg l))
7.0ms
l
@inf
((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (* (/ 2 (* (- x -1) 2)) (- x 1))) (* (/ 2 (* (- x -1) 2)) (- x 1)) (/ 2 (* (- x -1) 2)) 2 (* (- x -1) 2) (- x -1) x -1 (- x 1) 1 (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (/ 2 (/ (* 2 (- x -1)) (- x 1)))) (/ 2 (/ (* 2 (- x -1)) (- x 1))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/ (* -1 (sqrt 2)) (sqrt (* 2 (/ (+ 1 x) (- x 1))))) (* -1 (sqrt 2)) (sqrt 2) (sqrt (* 2 (/ (+ 1 x) (- x 1)))) (* 2 (/ (+ 1 x) (- x 1))) (+ (/ 4 x) 2) (/ 4 x) 4 (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (/ 2 (/ (* 2 (/ (- (* x x) 1) (- x 1))) (- x 1)))) (/ 2 (/ (* 2 (/ (- (* x x) 1) (- x 1))) (- x 1))) (/ (* 2 (/ (- (* x x) 1) (- x 1))) (- x 1)) (* 2 (/ (- (* x x) 1) (- x 1))) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (* x x) (/ (* (sqrt 2) t) (sqrt (+ (* (/ (+ (* (+ t t) t) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)))) (* (sqrt 2) t) t (sqrt (+ (* (/ (+ (* (+ t t) t) (* l l)) (- x 1)) (- x -1)) (* (neg l) l))) (+ (* (/ (+ (* (+ t t) t) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)) (/ (+ (* (+ t t) t) (* l l)) (- x 1)) (+ (* (+ t t) t) (* l l)) (+ t t) (* l l) l (* (neg l) l) (neg l))
6.0ms
x
@0
((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (* (/ 2 (* (- x -1) 2)) (- x 1))) (* (/ 2 (* (- x -1) 2)) (- x 1)) (/ 2 (* (- x -1) 2)) 2 (* (- x -1) 2) (- x -1) x -1 (- x 1) 1 (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (/ 2 (/ (* 2 (- x -1)) (- x 1)))) (/ 2 (/ (* 2 (- x -1)) (- x 1))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/ (* -1 (sqrt 2)) (sqrt (* 2 (/ (+ 1 x) (- x 1))))) (* -1 (sqrt 2)) (sqrt 2) (sqrt (* 2 (/ (+ 1 x) (- x 1)))) (* 2 (/ (+ 1 x) (- x 1))) (+ (/ 4 x) 2) (/ 4 x) 4 (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (/ 2 (/ (* 2 (/ (- (* x x) 1) (- x 1))) (- x 1)))) (/ 2 (/ (* 2 (/ (- (* x x) 1) (- x 1))) (- x 1))) (/ (* 2 (/ (- (* x x) 1) (- x 1))) (- x 1)) (* 2 (/ (- (* x x) 1) (- x 1))) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (* x x) (/ (* (sqrt 2) t) (sqrt (+ (* (/ (+ (* (+ t t) t) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)))) (* (sqrt 2) t) t (sqrt (+ (* (/ (+ (* (+ t t) t) (* l l)) (- x 1)) (- x -1)) (* (neg l) l))) (+ (* (/ (+ (* (+ t t) t) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)) (/ (+ (* (+ t t) t) (* l l)) (- x 1)) (+ (* (+ t t) t) (* l l)) (+ t t) (* l l) l (* (neg l) l) (neg l))
6.0ms
x
@inf
((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (* (/ 2 (* (- x -1) 2)) (- x 1))) (* (/ 2 (* (- x -1) 2)) (- x 1)) (/ 2 (* (- x -1) 2)) 2 (* (- x -1) 2) (- x -1) x -1 (- x 1) 1 (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (/ 2 (/ (* 2 (- x -1)) (- x 1)))) (/ 2 (/ (* 2 (- x -1)) (- x 1))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/ (* -1 (sqrt 2)) (sqrt (* 2 (/ (+ 1 x) (- x 1))))) (* -1 (sqrt 2)) (sqrt 2) (sqrt (* 2 (/ (+ 1 x) (- x 1)))) (* 2 (/ (+ 1 x) (- x 1))) (+ (/ 4 x) 2) (/ 4 x) 4 (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (/ 2 (/ (* 2 (/ (- (* x x) 1) (- x 1))) (- x 1)))) (/ 2 (/ (* 2 (/ (- (* x x) 1) (- x 1))) (- x 1))) (/ (* 2 (/ (- (* x x) 1) (- x 1))) (- x 1)) (* 2 (/ (- (* x x) 1) (- x 1))) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (* x x) (/ (* (sqrt 2) t) (sqrt (+ (* (/ (+ (* (+ t t) t) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)))) (* (sqrt 2) t) t (sqrt (+ (* (/ (+ (* (+ t t) t) (* l l)) (- x 1)) (- x -1)) (* (neg l) l))) (+ (* (/ (+ (* (+ t t) t) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)) (/ (+ (* (+ t t) t) (* l l)) (- x 1)) (+ (* (+ t t) t) (* l l)) (+ t t) (* l l) l (* (neg l) l) (neg l))
4.0ms
t
@0
((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (* (/ 2 (* (- x -1) 2)) (- x 1))) (* (/ 2 (* (- x -1) 2)) (- x 1)) (/ 2 (* (- x -1) 2)) 2 (* (- x -1) 2) (- x -1) x -1 (- x 1) 1 (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (/ 2 (/ (* 2 (- x -1)) (- x 1)))) (/ 2 (/ (* 2 (- x -1)) (- x 1))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/ (* -1 (sqrt 2)) (sqrt (* 2 (/ (+ 1 x) (- x 1))))) (* -1 (sqrt 2)) (sqrt 2) (sqrt (* 2 (/ (+ 1 x) (- x 1)))) (* 2 (/ (+ 1 x) (- x 1))) (+ (/ 4 x) 2) (/ 4 x) 4 (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (/ 2 (/ (* 2 (/ (- (* x x) 1) (- x 1))) (- x 1)))) (/ 2 (/ (* 2 (/ (- (* x x) 1) (- x 1))) (- x 1))) (/ (* 2 (/ (- (* x x) 1) (- x 1))) (- x 1)) (* 2 (/ (- (* x x) 1) (- x 1))) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (* x x) (/ (* (sqrt 2) t) (sqrt (+ (* (/ (+ (* (+ t t) t) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)))) (* (sqrt 2) t) t (sqrt (+ (* (/ (+ (* (+ t t) t) (* l l)) (- x 1)) (- x -1)) (* (neg l) l))) (+ (* (/ (+ (* (+ t t) t) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)) (/ (+ (* (+ t t) t) (* l l)) (- x 1)) (+ (* (+ t t) t) (* l l)) (+ t t) (* l l) l (* (neg l) l) (neg l))

rewrite54.0ms (1%)

Memory
37.2MiB live, 128.3MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063499
097456
0464455
Stop Event
iter-limit
iter-limit
iter-limit
unsound
iter-limit
Counts
43 → 207
Calls
Call 1
Inputs
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 x #s(literal 1 binary64)))))
(sqrt.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))
#s(literal 2 binary64)
(*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))
(-.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 #s(approx (/ 2 (/ (* 2 (- x -1)) (- x 1))) #s(literal -1 binary64))))
(sqrt.f64 #s(approx (/ 2 (/ (* 2 (- x -1)) (- x 1))) #s(literal -1 binary64)))
#s(approx (/ 2 (/ (* 2 (- x -1)) (- x 1))) #s(literal -1 binary64))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64))))))
(/.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64))))
#s(approx (* 2 (/ (+ 1 x) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))
(+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64))
(/.f64 #s(literal 4 binary64) x)
#s(literal 4 binary64)
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64))))))
(sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
t
(sqrt.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l)))
(fma.f64 (/.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l))
(/.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal 1 binary64)))
(fma.f64 (+.f64 t t) t (*.f64 l l))
(+.f64 t t)
(*.f64 l l)
l
(*.f64 (neg.f64 l) l)
(neg.f64 l)
Outputs
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))))
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))))
(fabs.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))))))
(*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))
#s(literal 2 binary64)
(*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64))) #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x (-.f64 x #s(literal -1 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x (-.f64 x #s(literal -1 binary64)))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)))
(+.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64)))))
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(+.f64 (*.f64 l l) (*.f64 (+.f64 t t) t))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 t t)) t)
(*.f64 #s(literal 2 binary64) t)
(/.f64 (-.f64 (*.f64 t t) (*.f64 t t)) (-.f64 t t))
(/.f64 (+.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (fma.f64 t t (-.f64 (*.f64 t t) (*.f64 t t))))
(-.f64 t (neg.f64 t))
(+.f64 t t)
(*.f64 (fabs.f64 l) (fabs.f64 l))
(*.f64 (neg.f64 l) (neg.f64 l))
(*.f64 l l)
(pow.f64 l #s(literal 2 binary64))
l
(*.f64 (neg.f64 l) l)
(*.f64 l (neg.f64 l))
(neg.f64 (*.f64 l l))
(neg.f64 l)

eval71.0ms (1.4%)

Memory
-10.3MiB live, 218.7MiB allocated; 34ms collecting garbage
Compiler

Compiled 29 073 to 2 574 computations (91.1% saved)

prune50.0ms (0.9%)

Memory
-10.4MiB live, 179.5MiB allocated; 17ms collecting garbage
Pruning

35 alts after pruning (30 fresh and 5 done)

PrunedKeptTotal
New3757382
Fresh32326
Picked235
Done022
Total38035415
Accuracy
92.9%
Counts
415 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.0%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l))))
32.7%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (+.f64 t t) t (*.f64 l l)))) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l))))
27.1%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 l) l))))
37.3%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) l) l (-.f64 (*.f64 (*.f64 (+.f64 t t) t) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (*.f64 l l)))))
29.9%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (/.f64 (*.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))))
36.0%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (*.f64 (/.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))))))
15.3%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 (+.f64 t t) t))) (*.f64 l l))))
32.8%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l))))
32.6%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (+.f64 t t) t (*.f64 l l))))) (*.f64 l l))))
31.1%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 #s(approx (/ -1 (- 1 x)) (/.f64 #s(literal 1 binary64) x)) (fma.f64 (+.f64 t t) t (*.f64 l l)))) (*.f64 l l))))
53.9%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (* (+ (* (* x x) x) 1) (/ 1 (+ (* x x) (- 1 x)))) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64))) x) (*.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)))))))
26.9%
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 (+.f64 t t) t (*.f64 l l))) (-.f64 #s(literal 1 binary64) x)) (*.f64 l l)))) t)
27.1%
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal -1 binary64))) (*.f64 (neg.f64 l) l)))))
30.0%
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (neg.f64 l) l (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 (+.f64 t t) t (*.f64 l l))) (-.f64 #s(literal 1 binary64) x))))))
54.0%
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(approx (- (/ (* (+ (* (+ t t) t) (* l l)) (- -1 x)) (- 1 x)) (* l l)) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) x) (*.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64))))))))
77.0%
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- (/ (* (+ (* (+ t t) t) (* l l)) (- -1 x)) (- 1 x)) (* l l))) (*.f64 t (sqrt.f64 (*.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))))))
3.2%
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- (/ (* (+ (* (+ t t) t) (* l l)) (- -1 x)) (- 1 x)) (* l l))) (*.f64 l (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))))))
1.7%
(*.f64 t #s(approx (/ (sqrt 2) (sqrt (- (/ (* (+ (* (+ t t) t) (* l l)) (- -1 x)) (- 1 x)) (* l l)))) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (sqrt.f64 (*.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))))))
1.7%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(approx (sqrt (* 2 (/ (+ 1 x) (- x 1)))) (sqrt.f64 #s(literal 2 binary64)))))
76.1%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) x)))))))
1.7%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) (-.f64 (/.f64 #s(literal 4 binary64) x) #s(literal -2 binary64))))))
41.8%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))
1.7%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))))))))
5.1%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (/ (* 2 (- x -1)) (- x 1)) (-.f64 (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -4 binary64) x) #s(literal 4 binary64))) #s(literal 4 binary64))) #s(literal 2 binary64))))))
3.2%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (/ (* 2 (- x -1)) (- x 1)) (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -4 binary64) x) #s(literal 4 binary64))) #s(literal 2 binary64))))))
75.3%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (* 2 (/ (+ 1 x) (- x 1))) #s(literal 2 binary64)))))
40.1%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)))))
77.2%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 x #s(literal 1 binary64)))))
75.2%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (*.f64 #s(approx (/ 2 (* (- x -1) 2)) (/.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))))
76.1%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 #s(approx (/ 2 (/ (* 2 (- x -1)) (- x 1))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))))
0.0%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 #s(approx (/ 2 (/ (* 2 (- x -1)) (- x 1))) #s(literal -1 binary64))))
1.7%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))))))
1.7%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (* 2 (/ (+ 1 x) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))))))
76.2%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (sqrt (/ 2 (/ (* 2 (- x -1)) (- x 1)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
76.5%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (sqrt (/ 2 (/ (* 2 (- x -1)) (- x 1)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)))))
Compiler

Compiled 3 782 to 1 305 computations (65.5% saved)

regimes151.0ms (2.9%)

Memory
23.2MiB live, 312.9MiB allocated; 114ms collecting garbage
Counts
59 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 #s(approx (/ 2 (/ (* 2 (- x -1)) (- x 1))) #s(literal -1 binary64))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (* 2 (/ (+ 1 x) (- x 1))) #s(literal 2 binary64)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (sqrt (/ 2 (/ (* 2 (- x -1)) (- x 1)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) #s(literal 2 binary64)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) #s(literal 2 binary64))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(approx (sqrt (* 2 (/ (+ 1 x) (- x 1)))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 #s(approx (/ 2 (/ (* 2 (- x -1)) (- x 1))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (*.f64 #s(approx (/ 2 (* (- x -1) 2)) (/.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (* 2 (/ (+ 1 x) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) (-.f64 (/.f64 #s(literal 4 binary64) x) #s(literal -2 binary64))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 x #s(literal 1 binary64)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (/ (* 2 (- x -1)) (- x 1)) (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -4 binary64) x) #s(literal 4 binary64))) #s(literal 2 binary64))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (sqrt (/ 2 (/ (* 2 (- x -1)) (- x 1)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) x))))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (* 2 (/ (+ 1 x) (- x 1)))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (/ (* 2 (- x -1)) (- x 1)) (-.f64 (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -4 binary64) x) #s(literal 4 binary64))) #s(literal 4 binary64))) #s(literal 2 binary64))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))))))))
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- (/ (* (+ (* (+ t t) t) (* l l)) (- -1 x)) (- 1 x)) (* l l))) (*.f64 t (sqrt.f64 (*.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64))))))
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- (/ (* (+ (* (+ t t) t) (* l l)) (- -1 x)) (- 1 x)) (* l l))) (*.f64 l (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (- x -1) (* (/ -1 (- 1 x)) (+ (* (+ t t) t) (* l l)))) (* l l))) (*.f64 l (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))))))
(*.f64 t #s(approx (/ (sqrt 2) (sqrt (- (/ (* (+ (* (+ t t) t) (* l l)) (- -1 x)) (- 1 x)) (* l l)))) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (sqrt.f64 (*.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 #s(literal -1 binary64) (*.f64 t (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 l (sqrt.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 (+.f64 t t) t (*.f64 l l))) (-.f64 #s(literal 1 binary64) x)) (*.f64 l l)))) t)
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (*.f64 l l)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))))) (-.f64 x #s(literal 1 binary64)))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 #s(approx (/ -1 (- 1 x)) (/.f64 #s(literal 1 binary64) x)) (fma.f64 (+.f64 t t) t (*.f64 l l)))) (*.f64 l l))))
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (neg.f64 l) l (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 (+.f64 t t) t (*.f64 l l))) (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (*.f64 (/.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (/.f64 (*.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 l) l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))))
(*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (*.f64 l l))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (+.f64 t t) t (*.f64 l l)))) (*.f64 l l))))
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal -1 binary64))) (*.f64 (neg.f64 l) l)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 l) l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (+.f64 t t) t (*.f64 l l))))) (*.f64 l l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (+.f64 t t) t (*.f64 l l)))) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) l) l (-.f64 (*.f64 (*.f64 (+.f64 t t) t) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (*.f64 l l)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 (+.f64 t t) t))) (*.f64 l l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 l l) (*.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64)))) (fma.f64 (+.f64 t t) t (*.f64 l l))) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (* (+ (* (* x x) x) 1) (/ 1 (+ (* x x) (- 1 x)))) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64))) x) (*.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)))))))
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(approx (- (/ (* (+ (* (+ t t) t) (* l l)) (- -1 x)) (- 1 x)) (* l l)) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) x) (*.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64))))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 t #s(literal 2 binary64)) x) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (/.f64 (pow.f64 l #s(literal 2 binary64)) x))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64))) x))))))
Outputs
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(approx (- (/ (* (+ (* (+ t t) t) (* l l)) (- -1 x)) (- 1 x)) (* l l)) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64)))) x) (*.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64))))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))))))
Calls

6 calls:

64.0ms
t
18.0ms
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
18.0ms
x
17.0ms
l
16.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
77.4%1(*.f64 l l)
77.4%1(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
83.4%3(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))))
77.4%1x
77.4%1l
85.8%2t
Compiler

Compiled 40 to 38 computations (5% saved)

regimes21.0ms (0.4%)

Memory
26.0MiB live, 67.7MiB allocated; 8ms collecting garbage
Counts
57 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 #s(approx (/ 2 (/ (* 2 (- x -1)) (- x 1))) #s(literal -1 binary64))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (* 2 (/ (+ 1 x) (- x 1))) #s(literal 2 binary64)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (sqrt (/ 2 (/ (* 2 (- x -1)) (- x 1)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) #s(literal 2 binary64)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) #s(literal 2 binary64))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(approx (sqrt (* 2 (/ (+ 1 x) (- x 1)))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 #s(approx (/ 2 (/ (* 2 (- x -1)) (- x 1))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (*.f64 #s(approx (/ 2 (* (- x -1) 2)) (/.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (* 2 (/ (+ 1 x) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) (-.f64 (/.f64 #s(literal 4 binary64) x) #s(literal -2 binary64))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 x #s(literal 1 binary64)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (/ (* 2 (- x -1)) (- x 1)) (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -4 binary64) x) #s(literal 4 binary64))) #s(literal 2 binary64))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (sqrt (/ 2 (/ (* 2 (- x -1)) (- x 1)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) x))))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (* 2 (/ (+ 1 x) (- x 1)))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (/ (* 2 (- x -1)) (- x 1)) (-.f64 (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -4 binary64) x) #s(literal 4 binary64))) #s(literal 4 binary64))) #s(literal 2 binary64))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))))))))
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- (/ (* (+ (* (+ t t) t) (* l l)) (- -1 x)) (- 1 x)) (* l l))) (*.f64 t (sqrt.f64 (*.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64))))))
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- (/ (* (+ (* (+ t t) t) (* l l)) (- -1 x)) (- 1 x)) (* l l))) (*.f64 l (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (- x -1) (* (/ -1 (- 1 x)) (+ (* (+ t t) t) (* l l)))) (* l l))) (*.f64 l (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))))))
(*.f64 t #s(approx (/ (sqrt 2) (sqrt (- (/ (* (+ (* (+ t t) t) (* l l)) (- -1 x)) (- 1 x)) (* l l)))) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (sqrt.f64 (*.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 #s(literal -1 binary64) (*.f64 t (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 l (sqrt.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 (+.f64 t t) t (*.f64 l l))) (-.f64 #s(literal 1 binary64) x)) (*.f64 l l)))) t)
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (*.f64 l l)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))))) (-.f64 x #s(literal 1 binary64)))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 #s(approx (/ -1 (- 1 x)) (/.f64 #s(literal 1 binary64) x)) (fma.f64 (+.f64 t t) t (*.f64 l l)))) (*.f64 l l))))
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (neg.f64 l) l (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 (+.f64 t t) t (*.f64 l l))) (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (*.f64 (/.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (/.f64 (*.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 l) l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))))
(*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (*.f64 l l))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (+.f64 t t) t (*.f64 l l)))) (*.f64 l l))))
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal -1 binary64))) (*.f64 (neg.f64 l) l)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 l) l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (+.f64 t t) t (*.f64 l l))))) (*.f64 l l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (+.f64 t t) t (*.f64 l l)))) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) l) l (-.f64 (*.f64 (*.f64 (+.f64 t t) t) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (*.f64 l l)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 (+.f64 t t) t))) (*.f64 l l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 l l) (*.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64)))) (fma.f64 (+.f64 t t) t (*.f64 l l))) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (* (+ (* (* x x) x) 1) (/ 1 (+ (* x x) (- 1 x)))) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64))) x) (*.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)))))))
Outputs
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (* (+ (* (* x x) x) 1) (/ 1 (+ (* x x) (- 1 x)))) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64))) x) (*.f64 #s(literal 2 binary64) (pow.f64 t #s(literal 2 binary64)))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))))))
Calls

1 calls:

17.0ms
t
Results
AccuracySegmentsBranch
85.7%2t
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes95.0ms (1.8%)

Memory
3.6MiB live, 224.1MiB allocated; 70ms collecting garbage
Counts
56 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 #s(approx (/ 2 (/ (* 2 (- x -1)) (- x 1))) #s(literal -1 binary64))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (* 2 (/ (+ 1 x) (- x 1))) #s(literal 2 binary64)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (sqrt (/ 2 (/ (* 2 (- x -1)) (- x 1)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) #s(literal 2 binary64)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) #s(literal 2 binary64))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(approx (sqrt (* 2 (/ (+ 1 x) (- x 1)))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 #s(approx (/ 2 (/ (* 2 (- x -1)) (- x 1))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (*.f64 #s(approx (/ 2 (* (- x -1) 2)) (/.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (* 2 (/ (+ 1 x) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) (-.f64 (/.f64 #s(literal 4 binary64) x) #s(literal -2 binary64))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 x #s(literal 1 binary64)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (/ (* 2 (- x -1)) (- x 1)) (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -4 binary64) x) #s(literal 4 binary64))) #s(literal 2 binary64))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (sqrt (/ 2 (/ (* 2 (- x -1)) (- x 1)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) x))))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (* 2 (/ (+ 1 x) (- x 1)))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (/ (* 2 (- x -1)) (- x 1)) (-.f64 (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -4 binary64) x) #s(literal 4 binary64))) #s(literal 4 binary64))) #s(literal 2 binary64))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))))))))
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- (/ (* (+ (* (+ t t) t) (* l l)) (- -1 x)) (- 1 x)) (* l l))) (*.f64 t (sqrt.f64 (*.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64))))))
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- (/ (* (+ (* (+ t t) t) (* l l)) (- -1 x)) (- 1 x)) (* l l))) (*.f64 l (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (- x -1) (* (/ -1 (- 1 x)) (+ (* (+ t t) t) (* l l)))) (* l l))) (*.f64 l (sqrt.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))))))
(*.f64 t #s(approx (/ (sqrt 2) (sqrt (- (/ (* (+ (* (+ t t) t) (* l l)) (- -1 x)) (- 1 x)) (* l l)))) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (sqrt.f64 (*.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 #s(literal -1 binary64) (*.f64 t (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 l (sqrt.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 (+.f64 t t) t (*.f64 l l))) (-.f64 #s(literal 1 binary64) x)) (*.f64 l l)))) t)
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (*.f64 l l)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))))) (-.f64 x #s(literal 1 binary64)))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 #s(approx (/ -1 (- 1 x)) (/.f64 #s(literal 1 binary64) x)) (fma.f64 (+.f64 t t) t (*.f64 l l)))) (*.f64 l l))))
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (neg.f64 l) l (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 (+.f64 t t) t (*.f64 l l))) (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (*.f64 (/.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (/.f64 (*.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 l) l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))))
(*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (*.f64 l l))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (+.f64 t t) t (*.f64 l l)))) (*.f64 l l))))
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal -1 binary64))) (*.f64 (neg.f64 l) l)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 l) l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (+.f64 t t) t (*.f64 l l))))) (*.f64 l l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (+.f64 t t) t (*.f64 l l)))) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) l) l (-.f64 (*.f64 (*.f64 (+.f64 t t) t) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (*.f64 l l)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 (+.f64 t t) t))) (*.f64 l l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 l l) (*.f64 (fma.f64 (+.f64 t t) t (*.f64 l l)) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64)))) (fma.f64 (+.f64 t t) t (*.f64 l l))) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
Outputs
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))))))
Calls

4 calls:

23.0ms
t
22.0ms
l
21.0ms
x
18.0ms
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))))
Results
AccuracySegmentsBranch
77.4%1x
77.4%1l
77.4%1(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))))
77.4%1t
Compiler

Compiled 30 to 27 computations (10% saved)

regimes43.0ms (0.8%)

Memory
-31.1MiB live, 65.3MiB allocated; 36ms collecting garbage
Counts
14 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 #s(approx (/ 2 (/ (* 2 (- x -1)) (- x 1))) #s(literal -1 binary64))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (* 2 (/ (+ 1 x) (- x 1))) #s(literal 2 binary64)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (sqrt (/ 2 (/ (* 2 (- x -1)) (- x 1)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) #s(literal 2 binary64)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) #s(literal 2 binary64))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(approx (sqrt (* 2 (/ (+ 1 x) (- x 1)))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 #s(approx (/ 2 (/ (* 2 (- x -1)) (- x 1))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (*.f64 #s(approx (/ 2 (* (- x -1) 2)) (/.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (* 2 (/ (+ 1 x) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) (-.f64 (/.f64 #s(literal 4 binary64) x) #s(literal -2 binary64))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 x #s(literal 1 binary64)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (/ (* 2 (- x -1)) (- x 1)) (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -4 binary64) x) #s(literal 4 binary64))) #s(literal 2 binary64))))))
Outputs
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 x #s(literal 1 binary64)))))
Calls

6 calls:

20.0ms
x
4.0ms
t
4.0ms
l
4.0ms
(*.f64 l l)
3.0ms
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))))
Results
AccuracySegmentsBranch
77.2%1(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))))
77.2%1(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
77.2%1(*.f64 l l)
77.2%1t
77.2%1x
77.2%1l
Compiler

Compiled 40 to 38 computations (5% saved)

regimes24.0ms (0.5%)

Memory
12.3MiB live, 57.4MiB allocated; 5ms collecting garbage
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 #s(approx (/ 2 (/ (* 2 (- x -1)) (- x 1))) #s(literal -1 binary64))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (* 2 (/ (+ 1 x) (- x 1))) #s(literal 2 binary64)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (sqrt (/ 2 (/ (* 2 (- x -1)) (- x 1)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) #s(literal 2 binary64)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) #s(literal 2 binary64))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(approx (sqrt (* 2 (/ (+ 1 x) (- x 1)))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 #s(approx (/ 2 (/ (* 2 (- x -1)) (- x 1))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (*.f64 #s(approx (/ 2 (* (- x -1) 2)) (/.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (* 2 (/ (+ 1 x) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) (-.f64 (/.f64 #s(literal 4 binary64) x) #s(literal -2 binary64))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(approx (* 2 (/ (+ 1 x) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64))))))
Outputs
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (sqrt (/ 2 (/ (* 2 (- x -1)) (- x 1)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
Calls

6 calls:

6.0ms
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
4.0ms
t
4.0ms
l
4.0ms
x
3.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
76.2%1(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))))
76.2%1(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
76.2%1(*.f64 l l)
76.2%1x
76.2%1t
76.2%1l
Compiler

Compiled 40 to 38 computations (5% saved)

regimes7.0ms (0.1%)

Memory
25.8MiB live, 25.8MiB allocated; 0ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 #s(approx (/ 2 (/ (* 2 (- x -1)) (- x 1))) #s(literal -1 binary64))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (* 2 (/ (+ 1 x) (- x 1))) #s(literal 2 binary64)))))
Outputs
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (* 2 (/ (+ 1 x) (- x 1))) #s(literal 2 binary64)))))
Calls

6 calls:

1.0ms
l
1.0ms
t
1.0ms
x
1.0ms
(*.f64 l l)
1.0ms
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))))
Results
AccuracySegmentsBranch
75.3%1(*.f64 l l)
75.3%1(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
75.3%1(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))))
75.3%1l
75.3%1x
75.3%1t
Compiler

Compiled 40 to 38 computations (5% saved)

regimes9.0ms (0.2%)

Memory
-23.6MiB live, 22.4MiB allocated; 4ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 #s(approx (/ 2 (/ (* 2 (- x -1)) (- x 1))) #s(literal -1 binary64))))
Outputs
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 #s(approx (/ 2 (/ (* 2 (- x -1)) (- x 1))) #s(literal -1 binary64))))
Calls

6 calls:

4.0ms
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))))
1.0ms
l
1.0ms
x
1.0ms
t
1.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
0.0%1(*.f64 l l)
0.0%1(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
0.0%1(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))))
0.0%1l
0.0%1t
0.0%1x
Compiler

Compiled 40 to 38 computations (5% saved)

bsearch4.0ms (0.1%)

Memory
10.3MiB live, 10.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
3.0ms
2.0711385081247205e+86
2.1504774423761612e+86
Samples
1.0ms1valid
1.0ms11×0valid
Compiler

Compiled 126 to 83 computations (34.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-mult!: 1.0ms (61.1% of total)
ival-add!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-sub!: 0.0ms (0% of total)
ival-sqrt: 0.0ms (0% of total)
ival-div!: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
2.0711385081247205e+86
2.1504774423761612e+86
Compiler

Compiled 129 to 86 computations (33.3% saved)

derivations91.0ms (1.7%)

Memory
-1.3MiB live, 107.7MiB allocated; 56ms collecting garbage
Stop Event
fuel
Compiler

Compiled 413 to 93 computations (77.5% saved)

preprocess176.0ms (3.4%)

Memory
2.1MiB live, 371.5MiB allocated; 60ms collecting garbage
Remove

(negabs t)

(abs l)

Compiler

Compiled 2 834 to 1 515 computations (46.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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